1st Edition

Handbook of Item Response Theory Volume 1: Models

Edited By Wim J. van der Linden Copyright 2016
    624 Pages 93 B/W Illustrations
    by Chapman & Hall

    623 Pages 93 B/W Illustrations
    by Chapman & Hall

    623 Pages 93 B/W Illustrations
    by Chapman & Hall

    Drawing on the work of internationally acclaimed experts in the field, Handbook of Item Response Theory, Volume One: Models presents all major item response models. This first volume in a three-volume set covers many model developments that have occurred in item response theory (IRT) during the last 20 years. It describes models for different response formats or response processes, the need of deeper parameterization due to a multilevel or hierarchical structure of the response data, and other extensions and insights.

    In Volume One, all chapters have a common format with each chapter focusing on one family of models or modeling approach. An introductory section in every chapter includes some history of the model and a motivation of its relevance. Subsequent sections present the model more formally, treat the estimation of its parameters, show how to evaluate its fit to empirical data, illustrate the use of the model through an empirical example, and discuss further applications and remaining research issues.

    Wim J. van der Linden

    Dichotomous Models
    Unidimensional Logistic Models
    Wim J. van der Linden
    Rasch Model
    Matthias von Davier

    Nominal and Ordinal Models
    Nominal Categories Models
    David Thissen and Li Cai
    Rasch Rating Scale Model
    David Andrich
    Graded Response Models
    Fumiko Samejima
    Partial Credit Model
    Geoff N. Masters
    Generalized Partial Credit Model
    Eiji Muraki and Mari Muraki
    Sequential Models for Ordered Responses
    Gerhard Tutz
    Models for Continuous Responses
    Gideon J. Mellenbergh

    Multidimensional and Multicomponent Models
    Normal-Ogive Multidimensional Models
    Hariharan Swaminathan and H. Jane Rogers
    Logistic Multidimensional Models
    Mark D. Reckase
    Linear Logistic Models
    Rianne Janssen
    Multicomponent Models
    Susan E. Embretson

    Models for Response Times
    Poisson and Gamma Models for Reading Speed and Error
    Margo G. H. Jansen
    Lognormal Response-Time Model
    Wim J. van der Linden
    Diffusion-Based Response-Time Models
    Francis Tuerlinckx, Dylan Molenaar, and Han L. J. van der Maas

    Nonparametric Models
    Mokken Models
    Klaas Sijtsma and Ivo W. Molenaar
    Bayesian Nonparametric Response Models
    George Karabatsos
    Functional Approaches to Modeling Response Data
    James Ramsay

    Models for Nonmonotone Items
    Hyperbolic Cosine Model for Unfolding Responses
    David Andrich
    Generalized Graded Unfolding Model
    James S. Roberts

    Hierarchical Response Models
    Logistic Mixture-Distribution Response Models
    Matthias von Davier and Jürgen Rost
    Multilevel Response Models with Covariates and Multiple Groups
    Jean-Paul Fox and Cees A. W. Glas
    Two-Tier Item Factor Analysis Modeling
    Li Cai
    Item-Family Models
    Cees A. W. Glas, Wim J. van der Linden, and Hanneke Geerlings
    Hierarchical Rater Models
    Jodi M. Casabianca, Brian W. Junker, and Richard J. Patz
    Randomized Response Models for Sensitive Measurements
    Jean-Paul Fox
    Joint Hierarchical Modeling of Responses and Response Times
    Wim J. van der Linden and Jean-Paul Fox

    Generalized Modeling Approaches
    Generalized Linear Latent and Mixed Modeling
    Sophia Rabe-Hesketh and Anders Skrondal
    Multidimensional, Multilevel, and Multi-Timepoint Item Response Modeling
    Bengt Muthén and Tihomir Asparouhov
    Mixed-Coefficients Multinomial Logit Models
    Raymond. J. Adams, Mark R. Wilson, and Margaret L. Wu
    Explanatory Response Models
    Paul De Boeck and Mark R. Wilson


    Wim J. van der Linden is a distinguished scientist and director of research innovation at Pacific Metrics Corporation. He is also a professor emeritus of measurement and data analysis at the University of Twente. He is a past president of the Psychometric Society and National Council on Measurement in Education (NCME) and a recipient of career achievement awards from NCME, Association of Test Publishers (ATP), and American Educational Research Association (AERA). His research interests include test theory, computerized adaptive testing, optimal test assembly, parameter linking, test equating, and response-time modeling as well as decision theory and its application to problems of educational decision making. Dr. van der Linden earned a PhD in psychometrics from the University of Amsterdam.

    "Handbook I is likely to be useful for undergraduate or graduate students who have an interest in pursuing quantitative research in educational and psychological testing, especially with datasets that contain multiple discrete outcomes. Master- and doctoral-level students seeking dissertation topics and doing literature reviews will find Handbook I a valuable resource."
    ~Edward H. Ip, Wake Forest School of Medicine, Journal of the American Statistical Association